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Finding the Fourth Proportional to 419,935.50, 629,966.70 and 135,531

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Solution

The fourth proportional to 419,935.50, 629,966.70 and 135,531 is: 203,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,935.50 : 629,966.70 = 135,531 : x
  2. Step 2: Convert to fraction form
    419,935.50/629,966.70 = 135,531/x
  3. Step 3: Cross multiply
    419,935.50x = 629,966.70 × 135,531
  4. Step 4: Simplify right side
    419,935.50x = 85,380,016,817.70
  5. Step 5: Solve for x
    x = 85,380,016,817.70/419,935.50
  6. Step 6: Final answer
    x = 203,316.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.